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Eva8 [605]
3 years ago
10

Part A: Factor 3x2y2 − xy2 − 2y2. Show your work. (4 points) Part B: Factor x2 + 6x + 9. Show your work. (3 points) Part C: Fact

or x2 − 25. Show your work. (3 points)
Mathematics
1 answer:
san4es73 [151]3 years ago
4 0
A)  the greatest common factor is y^2 so

y^2(3x^2-x-2)

...

B)  x^2+6x+9

x^2+3x+3x+9

x(x+3)+3(x+3)

(x+3)(x+3)

(x+3)^2

C)

x^2-25

x^2-5x+5x-25

x(x-5)+5(x-5)

(x+5)(x-5)
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1. Ima Thief robs a bank and takes off in a getaway car. Five minutes Polly Srule takes off after Ima.
chubhunter [2.5K]

Answer:

a. 12 minutes

b. 34 minutes

Step-by-step explanation:

Here, we are told that Ima has driven 5 minutes before Polly started driving

So if Ima has driven for x minutes , polly would have driven for y minutes but the difference between x and y is 5

So mathematically;

x = y + 5

a. 17 = y + 5

y = 17-5 = 12 minutes

b. x = 29 + 5

x = 34 minutes

8 0
2 years ago
A home with a market value of $240,000 is assessed at 40% of the market value. What's the assessed value?
hammer [34]

Answer:

  $96,000

Step-by-step explanation:

40% of $240,000 is ...

  0.40 × $240,000 = $96,000

The assessed value is $96,000.

4 0
3 years ago
the band knows 45. song. it play 12 songs in the first set, 15 song in the second set, and 11 songs in the last set. if no songs
Dennis_Churaev [7]

Answer:

7 songs

Step-by-step explanation:

12+15+11 is 38

45-38 is 7.

4 0
3 years ago
Read 2 more answers
Given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
uysha [10]

Answer:

f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}

3 0
2 years ago
The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is
Naily [24]
Perimeter = 2L + 2w
in this case, L = 3w - 2 and perimeter = 28.
so, 28 = 2L + 2w.  or 14 = L + w.  or substitute for L: (3w - 2) +w =14 
or 4w - 2 = 14.  4w = 12. 12/4 = 3 = w.
The width = 3 inches; and the length = (3x3 -2) 7 inches.
6 0
3 years ago
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